IMPLEMENTATION OF A SIMPLE RELIABLE ERROR EVALUATION METHOD IN STATIC/DYNAMIC FINITE ELEMENT ANALYSIS OF FRAMES

Abstract eng:
Analysis of accuracy and evaluation of the errors are significant issues in finite element analysis, and many a priori and a posteriori error estimates were suggested, in the past decades. Based on the notions of proper and pseudo convergence, and the features of Richardson extrapolation, in 2009, a simple reliable and economical method is proposed for evaluating the errors of arbitrary approximate computations. Considering the broad implementation of finite element method (FEM), and the conventional orders of accuracies, the attention here is given to the errors in static and dynamic structural analyses, where, in the latter, the analyses are carried out by time integration. The performance of the recent error evaluation method for finite element analysis of static/dynamic behaviors of frames is discussed. Particular attention is to the fact that in the dynamic finite element analyses, there exist several algorithmic parameters. The adequacy of the theoretical error analysis discussions are then demonstrated by detailed numerical simulations of two frames in static and then in dynamic regimes. The simulations results are found to be in agreement with the theoretical expectations. In short, the recent error evaluation method can be reliably implemented for evaluating the accuracies of the static and dynamic finite element analyses of frames. Further investigations toward developing more efficient, more reliable, and more versatile error evaluation methods are proposed.

• Export as: BibTeX | MARC | MARCXML | DC | EndNote | NLM | RefWorks
• Add to your basket